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Deep high-order splitting method for semilinear degenerate PDEs and application to high-dimensional nonlinear pricing models
Naito, Riu
;
Yamada, Toshihiro
- In:
Digital finance : smart data analytics, investment …
6
(
2024
)
4
,
pp. 693-725
Persistent link: https://www.econbiz.de/10015177142
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2
Deep Kusuoka approximation : high-order spatial approximation for solving high-dimensional Kolmogorov equations and its application to finance
Naito, Riu
;
Yamada, Toshihiro
- In:
Computational economics
64
(
2024
)
3
,
pp. 1443-1461
Persistent link: https://www.econbiz.de/10015143929
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3
A new efficient approximation scheme for solving high-dimensional semilinear PDEs : control variate method for Deep BSDE solver
Takahashi, Akihiko
;
Tsuchida, Yoshifumi
;
Yamada, Toshihiro
-
2021
-
This version : August 10, 2021
Persistent link: https://www.econbiz.de/10012616192
Saved in:
4
An acceleration scheme for deep learning-based BSDE solver using weak expansions
Naito, Riu
;
Yamada, Toshihiro
- In:
International journal of financial engineering
7
(
2020
)
2
,
pp. 1-12
Persistent link: https://www.econbiz.de/10012602946
Saved in:
5
A new efficient approximation scheme for solving high-dimensional semilinear PDEs : control variate method for Deep BSDE solver
Takahashi, Akihiko
;
Tsuchida, Yoshifumi
;
Yamada, Toshihiro
-
2021
Persistent link: https://www.econbiz.de/10012813680
Saved in:
6
A new efficient approximation scheme for solving high-dimensional semilinear PDEs : control variate method for Deep BSDE solver
Takahashi, Akihiko
;
Tsuchida, Yoshifumi
;
Yamada, Toshihiro
-
2021
-
Revised in August, November 2021, January and February 2022
Persistent link: https://www.econbiz.de/10013335002
Saved in:
7
Asymptotic expansion and deep neural networks overcome the curse of dimensionality in the numerical approximation of Kolmogorov partial differential equations with nonlinear coefficients
Takahashi, Akihiko
;
Yamada, Toshihiro
-
2021
Persistent link: https://www.econbiz.de/10013336341
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8
Deep asymptotic expansion with weak approximation
Iguchi, Yuga
;
Naito, Riu
;
Okano, Yusuke
;
Yamada, Toshihiro
-
2021
-
Revised in August 2021
Persistent link: https://www.econbiz.de/10013336343
Saved in:
9
Solving Kolmogorov PDEs without the curse of dimensionality via deep learning and asymptotic expansion with Malliavin calculus
Takahashi, Akihiko
;
Yamada, Toshihiro
-
2023
-
This version: May 9, 2023
Persistent link: https://www.econbiz.de/10014289121
Saved in:
10
Deep Asymptotic Expansion : Application to Financial Mathematics
Iguchi, Yuga
;
Naito, Riu
;
Takahashi, Akihiko
;
Yamada, …
-
2021
-
Revised in February 2022
Persistent link: https://www.econbiz.de/10013339086
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